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Simplifying t(2y + 4p) + (n + 3h) = 24 Reorder the terms: t(4p + 2y) + (n + 3h) = 24 (4p * t + 2y * t) + (n + 3h) = 24 (4pt + 2ty) + (n + 3h) = 24 Reorder the terms: 4pt + 2ty + (3h + n) = 24 Remove parenthesis around (3h + n) 4pt + 2ty + 3h + n = 24 Reorder the terms: 3h + n + 4pt + 2ty = 24 Solving 3h + n + 4pt + 2ty = 24 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-1n' to each side of the equation. 3h + n + 4pt + -1n + 2ty = 24 + -1n Reorder the terms: 3h + n + -1n + 4pt + 2ty = 24 + -1n Combine like terms: n + -1n = 0 3h + 0 + 4pt + 2ty = 24 + -1n 3h + 4pt + 2ty = 24 + -1n Add '-4pt' to each side of the equation. 3h + 4pt + -4pt + 2ty = 24 + -1n + -4pt Combine like terms: 4pt + -4pt = 0 3h + 0 + 2ty = 24 + -1n + -4pt 3h + 2ty = 24 + -1n + -4pt Add '-2ty' to each side of the equation. 3h + 2ty + -2ty = 24 + -1n + -4pt + -2ty Combine like terms: 2ty + -2ty = 0 3h + 0 = 24 + -1n + -4pt + -2ty 3h = 24 + -1n + -4pt + -2ty Divide each side by '3'. h = 8 + -0.3333333333n + -1.333333333pt + -0.6666666667ty Simplifying h = 8 + -0.3333333333n + -1.333333333pt + -0.6666666667ty
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